/* Copyright 2017-2021 PaGMO development team

This file is part of the PaGMO library.

The PaGMO library is free software; you can redistribute it and/or modify
it under the terms of either:

  * the GNU Lesser General Public License as published by the Free
    Software Foundation; either version 3 of the License, or (at your
    option) any later version.

or

  * the GNU General Public License as published by the Free Software
    Foundation; either version 3 of the License, or (at your option) any
    later version.

or both in parallel, as here.

The PaGMO library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
for more details.

You should have received copies of the GNU General Public License and the
GNU Lesser General Public License along with the PaGMO library.  If not,
see https://www.gnu.org/licenses/. */

#include <stdexcept>
#include <string>

#include <pagmo/detail/prime_numbers.hpp>
#include <pagmo/exceptions.hpp>

namespace pagmo
{

namespace detail
{

namespace
{

// A table of the first N prime numbers.
constexpr unsigned prime_numbers_table[]
    = {1,     2,     3,     5,     7,     11,    13,    17,    19,    23,    29,    31,    37,    41,    43,    47,
       53,    59,    61,    67,    71,    73,    79,    83,    89,    97,    101,   103,   107,   109,   113,   127,
       131,   137,   139,   149,   151,   157,   163,   167,   173,   179,   181,   191,   193,   197,   199,   211,
       223,   227,   229,   233,   239,   241,   251,   257,   263,   269,   271,   277,   281,   283,   293,   307,
       311,   313,   317,   331,   337,   347,   349,   353,   359,   367,   373,   379,   383,   389,   397,   401,
       409,   419,   421,   431,   433,   439,   443,   449,   457,   461,   463,   467,   479,   487,   491,   499,
       503,   509,   521,   523,   541,   547,   557,   563,   569,   571,   577,   587,   593,   599,   601,   607,
       613,   617,   619,   631,   641,   643,   647,   653,   659,   661,   673,   677,   683,   691,   701,   709,
       719,   727,   733,   739,   743,   751,   757,   761,   769,   773,   787,   797,   809,   811,   821,   823,
       827,   829,   839,   853,   857,   859,   863,   877,   881,   883,   887,   907,   911,   919,   929,   937,
       941,   947,   953,   967,   971,   977,   983,   991,   997,   1009,  1013,  1019,  1021,  1031,  1033,  1039,
       1049,  1051,  1061,  1063,  1069,  1087,  1091,  1093,  1097,  1103,  1109,  1117,  1123,  1129,  1151,  1153,
       1163,  1171,  1181,  1187,  1193,  1201,  1213,  1217,  1223,  1229,  1231,  1237,  1249,  1259,  1277,  1279,
       1283,  1289,  1291,  1297,  1301,  1303,  1307,  1319,  1321,  1327,  1361,  1367,  1373,  1381,  1399,  1409,
       1423,  1427,  1429,  1433,  1439,  1447,  1451,  1453,  1459,  1471,  1481,  1483,  1487,  1489,  1493,  1499,
       1511,  1523,  1531,  1543,  1549,  1553,  1559,  1567,  1571,  1579,  1583,  1597,  1601,  1607,  1609,  1613,
       1619,  1621,  1627,  1637,  1657,  1663,  1667,  1669,  1693,  1697,  1699,  1709,  1721,  1723,  1733,  1741,
       1747,  1753,  1759,  1777,  1783,  1787,  1789,  1801,  1811,  1823,  1831,  1847,  1861,  1867,  1871,  1873,
       1877,  1879,  1889,  1901,  1907,  1913,  1931,  1933,  1949,  1951,  1973,  1979,  1987,  1993,  1997,  1999,
       2003,  2011,  2017,  2027,  2029,  2039,  2053,  2063,  2069,  2081,  2083,  2087,  2089,  2099,  2111,  2113,
       2129,  2131,  2137,  2141,  2143,  2153,  2161,  2179,  2203,  2207,  2213,  2221,  2237,  2239,  2243,  2251,
       2267,  2269,  2273,  2281,  2287,  2293,  2297,  2309,  2311,  2333,  2339,  2341,  2347,  2351,  2357,  2371,
       2377,  2381,  2383,  2389,  2393,  2399,  2411,  2417,  2423,  2437,  2441,  2447,  2459,  2467,  2473,  2477,
       2503,  2521,  2531,  2539,  2543,  2549,  2551,  2557,  2579,  2591,  2593,  2609,  2617,  2621,  2633,  2647,
       2657,  2659,  2663,  2671,  2677,  2683,  2687,  2689,  2693,  2699,  2707,  2711,  2713,  2719,  2729,  2731,
       2741,  2749,  2753,  2767,  2777,  2789,  2791,  2797,  2801,  2803,  2819,  2833,  2837,  2843,  2851,  2857,
       2861,  2879,  2887,  2897,  2903,  2909,  2917,  2927,  2939,  2953,  2957,  2963,  2969,  2971,  2999,  3001,
       3011,  3019,  3023,  3037,  3041,  3049,  3061,  3067,  3079,  3083,  3089,  3109,  3119,  3121,  3137,  3163,
       3167,  3169,  3181,  3187,  3191,  3203,  3209,  3217,  3221,  3229,  3251,  3253,  3257,  3259,  3271,  3299,
       3301,  3307,  3313,  3319,  3323,  3329,  3331,  3343,  3347,  3359,  3361,  3371,  3373,  3389,  3391,  3407,
       3413,  3433,  3449,  3457,  3461,  3463,  3467,  3469,  3491,  3499,  3511,  3517,  3527,  3529,  3533,  3539,
       3541,  3547,  3557,  3559,  3571,  3581,  3583,  3593,  3607,  3613,  3617,  3623,  3631,  3637,  3643,  3659,
       3671,  3673,  3677,  3691,  3697,  3701,  3709,  3719,  3727,  3733,  3739,  3761,  3767,  3769,  3779,  3793,
       3797,  3803,  3821,  3823,  3833,  3847,  3851,  3853,  3863,  3877,  3881,  3889,  3907,  3911,  3917,  3919,
       3923,  3929,  3931,  3943,  3947,  3967,  3989,  4001,  4003,  4007,  4013,  4019,  4021,  4027,  4049,  4051,
       4057,  4073,  4079,  4091,  4093,  4099,  4111,  4127,  4129,  4133,  4139,  4153,  4157,  4159,  4177,  4201,
       4211,  4217,  4219,  4229,  4231,  4241,  4243,  4253,  4259,  4261,  4271,  4273,  4283,  4289,  4297,  4327,
       4337,  4339,  4349,  4357,  4363,  4373,  4391,  4397,  4409,  4421,  4423,  4441,  4447,  4451,  4457,  4463,
       4481,  4483,  4493,  4507,  4513,  4517,  4519,  4523,  4547,  4549,  4561,  4567,  4583,  4591,  4597,  4603,
       4621,  4637,  4639,  4643,  4649,  4651,  4657,  4663,  4673,  4679,  4691,  4703,  4721,  4723,  4729,  4733,
       4751,  4759,  4783,  4787,  4789,  4793,  4799,  4801,  4813,  4817,  4831,  4861,  4871,  4877,  4889,  4903,
       4909,  4919,  4931,  4933,  4937,  4943,  4951,  4957,  4967,  4969,  4973,  4987,  4993,  4999,  5003,  5009,
       5011,  5021,  5023,  5039,  5051,  5059,  5077,  5081,  5087,  5099,  5101,  5107,  5113,  5119,  5147,  5153,
       5167,  5171,  5179,  5189,  5197,  5209,  5227,  5231,  5233,  5237,  5261,  5273,  5279,  5281,  5297,  5303,
       5309,  5323,  5333,  5347,  5351,  5381,  5387,  5393,  5399,  5407,  5413,  5417,  5419,  5431,  5437,  5441,
       5443,  5449,  5471,  5477,  5479,  5483,  5501,  5503,  5507,  5519,  5521,  5527,  5531,  5557,  5563,  5569,
       5573,  5581,  5591,  5623,  5639,  5641,  5647,  5651,  5653,  5657,  5659,  5669,  5683,  5689,  5693,  5701,
       5711,  5717,  5737,  5741,  5743,  5749,  5779,  5783,  5791,  5801,  5807,  5813,  5821,  5827,  5839,  5843,
       5849,  5851,  5857,  5861,  5867,  5869,  5879,  5881,  5897,  5903,  5923,  5927,  5939,  5953,  5981,  5987,
       6007,  6011,  6029,  6037,  6043,  6047,  6053,  6067,  6073,  6079,  6089,  6091,  6101,  6113,  6121,  6131,
       6133,  6143,  6151,  6163,  6173,  6197,  6199,  6203,  6211,  6217,  6221,  6229,  6247,  6257,  6263,  6269,
       6271,  6277,  6287,  6299,  6301,  6311,  6317,  6323,  6329,  6337,  6343,  6353,  6359,  6361,  6367,  6373,
       6379,  6389,  6397,  6421,  6427,  6449,  6451,  6469,  6473,  6481,  6491,  6521,  6529,  6547,  6551,  6553,
       6563,  6569,  6571,  6577,  6581,  6599,  6607,  6619,  6637,  6653,  6659,  6661,  6673,  6679,  6689,  6691,
       6701,  6703,  6709,  6719,  6733,  6737,  6761,  6763,  6779,  6781,  6791,  6793,  6803,  6823,  6827,  6829,
       6833,  6841,  6857,  6863,  6869,  6871,  6883,  6899,  6907,  6911,  6917,  6947,  6949,  6959,  6961,  6967,
       6971,  6977,  6983,  6991,  6997,  7001,  7013,  7019,  7027,  7039,  7043,  7057,  7069,  7079,  7103,  7109,
       7121,  7127,  7129,  7151,  7159,  7177,  7187,  7193,  7207,  7211,  7213,  7219,  7229,  7237,  7243,  7247,
       7253,  7283,  7297,  7307,  7309,  7321,  7331,  7333,  7349,  7351,  7369,  7393,  7411,  7417,  7433,  7451,
       7457,  7459,  7477,  7481,  7487,  7489,  7499,  7507,  7517,  7523,  7529,  7537,  7541,  7547,  7549,  7559,
       7561,  7573,  7577,  7583,  7589,  7591,  7603,  7607,  7621,  7639,  7643,  7649,  7669,  7673,  7681,  7687,
       7691,  7699,  7703,  7717,  7723,  7727,  7741,  7753,  7757,  7759,  7789,  7793,  7817,  7823,  7829,  7841,
       7853,  7867,  7873,  7877,  7879,  7883,  7901,  7907,  7919,  7927,  7933,  7937,  7949,  7951,  7963,  7993,
       8009,  8011,  8017,  8039,  8053,  8059,  8069,  8081,  8087,  8089,  8093,  8101,  8111,  8117,  8123,  8147,
       8161,  8167,  8171,  8179,  8191,  8209,  8219,  8221,  8231,  8233,  8237,  8243,  8263,  8269,  8273,  8287,
       8291,  8293,  8297,  8311,  8317,  8329,  8353,  8363,  8369,  8377,  8387,  8389,  8419,  8423,  8429,  8431,
       8443,  8447,  8461,  8467,  8501,  8513,  8521,  8527,  8537,  8539,  8543,  8563,  8573,  8581,  8597,  8599,
       8609,  8623,  8627,  8629,  8641,  8647,  8663,  8669,  8677,  8681,  8689,  8693,  8699,  8707,  8713,  8719,
       8731,  8737,  8741,  8747,  8753,  8761,  8779,  8783,  8803,  8807,  8819,  8821,  8831,  8837,  8839,  8849,
       8861,  8863,  8867,  8887,  8893,  8923,  8929,  8933,  8941,  8951,  8963,  8969,  8971,  8999,  9001,  9007,
       9011,  9013,  9029,  9041,  9043,  9049,  9059,  9067,  9091,  9103,  9109,  9127,  9133,  9137,  9151,  9157,
       9161,  9173,  9181,  9187,  9199,  9203,  9209,  9221,  9227,  9239,  9241,  9257,  9277,  9281,  9283,  9293,
       9311,  9319,  9323,  9337,  9341,  9343,  9349,  9371,  9377,  9391,  9397,  9403,  9413,  9419,  9421,  9431,
       9433,  9437,  9439,  9461,  9463,  9467,  9473,  9479,  9491,  9497,  9511,  9521,  9533,  9539,  9547,  9551,
       9587,  9601,  9613,  9619,  9623,  9629,  9631,  9643,  9649,  9661,  9677,  9679,  9689,  9697,  9719,  9721,
       9733,  9739,  9743,  9749,  9767,  9769,  9781,  9787,  9791,  9803,  9811,  9817,  9829,  9833,  9839,  9851,
       9857,  9859,  9871,  9883,  9887,  9901,  9907,  9923,  9929,  9931,  9941,  9949,  9967,  9973,  10007, 10009,
       10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, 10103, 10111, 10133, 10139, 10141, 10151, 10159,
       10163, 10169, 10177, 10181, 10193, 10211, 10223, 10243, 10247, 10253, 10259, 10267, 10271, 10273, 10289, 10301,
       10303, 10313, 10321, 10331, 10333, 10337, 10343, 10357, 10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457,
       10459, 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 10559, 10567, 10589, 10597, 10601, 10607, 10613,
       10627, 10631, 10639, 10651, 10657, 10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, 10753,
       10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, 10861, 10867, 10883, 10889, 10891, 10903, 10909,
       10937, 10939, 10949, 10957, 10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, 11069, 11071, 11083,
       11087, 11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243,
       11251, 11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329, 11351, 11353, 11369, 11383, 11393,
       11399, 11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527, 11549,
       11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, 11677, 11681, 11689, 11699, 11701, 11717, 11719,
       11731, 11743, 11777, 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, 11839, 11863, 11867,
       11887, 11897, 11903, 11909, 11923, 11927, 11933, 11939, 11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007,
       12011, 12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, 12113, 12119, 12143, 12149, 12157,
       12161, 12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251, 12253, 12263, 12269, 12277, 12281, 12289, 12301,
       12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, 12409, 12413, 12421, 12433, 12437, 12451, 12457,
       12473, 12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527, 12539, 12541, 12547, 12553, 12569, 12577, 12583,
       12589, 12601, 12611, 12613, 12619, 12637, 12641, 12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721,
       12739, 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829, 12841, 12853, 12889, 12893, 12899,
       12907, 12911, 12917, 12919, 12923, 12941, 12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, 13009,
       13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, 13121, 13127, 13147, 13151, 13159, 13163, 13171,
       13177, 13183, 13187, 13217, 13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309, 13313, 13327, 13331,
       13337, 13339, 13367, 13381, 13397, 13399, 13411, 13417, 13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487,
       13499};

} // namespace

unsigned prime(unsigned n)
{
    if (n >= sizeof(prime_numbers_table) / sizeof(unsigned)) {
        pagmo_throw(std::invalid_argument, "Out of bounds access to the prime table: the prime at index "
                                               + std::to_string(n) + " was requested, but the table has a size of only "
                                               + std::to_string(sizeof(prime_numbers_table) / sizeof(unsigned)));
    }
    return prime_numbers_table[n];
}

} // namespace detail

} // namespace pagmo
